Spectra::HermEigsBase< OpType, BOpType > Class Template Reference

#include <Spectra/HermEigsBase.h>

Inheritance diagram for Spectra::HermEigsBase< OpType, BOpType >:

Public Member Functions
void	init (const Scalar *init_resid)
void	init ()
Index	compute (SortRule selection=SortRule::LargestMagn, Index maxit=1000, RealScalar tol=1e-10, SortRule sorting=SortRule::LargestAlge)
CompInfo	info () const
Index	num_iterations () const
Index	num_operations () const
RealVector	eigenvalues () const
virtual Matrix	eigenvectors (Index nvec) const
virtual Matrix	eigenvectors () const

Detailed Description

template<typename OpType, typename BOpType>
class Spectra::HermEigsBase< OpType, BOpType >

This is the base class for Hermitian (and real symmetric) eigen solvers, mainly for internal use. It is kept here to provide the documentation for member functions of concrete eigen solvers such as SymEigsSolver, HermEigsSolver, SymEigsShiftSolver, etc.

Definition at line 44 of file HermEigsBase.h.

Member Function Documentation

init() [1/2]

template<typename OpType, typename BOpType>

void Spectra::HermEigsBase< OpType, BOpType >::init ( const Scalar * init_resid )

inline

Initializes the solver by providing an initial residual vector.

Parameters

init_resid

Pointer to the initial residual vector.

Spectra (and also ARPACK) uses an iterative algorithm to find eigenvalues. This function allows the user to provide the initial residual vector.

Definition at line 309 of file HermEigsBase.h.

init() [2/2]

template<typename OpType, typename BOpType>

void Spectra::HermEigsBase< OpType, BOpType >::init ( )

inline

Initializes the solver by providing a random initial residual vector.

This overloaded function generates a random initial residual vector (with a fixed random seed) for the algorithm. Elements in the vector follow independent Uniform(-0.5, 0.5) distribution.

Definition at line 337 of file HermEigsBase.h.

compute()

template<typename OpType, typename BOpType>

Index Spectra::HermEigsBase< OpType, BOpType >::compute ( SortRule selection = SortRule::LargestMagn, Index maxit = 1000, RealScalar tol = 1e-10, SortRule sorting = SortRule::LargestAlge )

inline

Conducts the major computation procedure.

Parameters

selection	An enumeration value indicating the selection rule of the requested eigenvalues, for example SortRule::LargestMagn to retrieve eigenvalues with the largest magnitude. The full list of enumeration values can be found in Enumerations.
maxit	Maximum number of iterations allowed in the algorithm.
tol	Precision parameter for the calculated eigenvalues.
sorting	Rule to sort the eigenvalues and eigenvectors. Supported values are SortRule::LargestAlge, SortRule::LargestMagn, SortRule::SmallestAlge, and SortRule::SmallestMagn. For example, SortRule::LargestAlge indicates that largest eigenvalues come first. Note that this argument is only used to sort the final result, and the selection rule (e.g. selecting the largest or smallest eigenvalues in the full spectrum) is specified by the parameter selection.

Returns

Number of converged eigenvalues.

Definition at line 366 of file HermEigsBase.h.

info()

template<typename OpType, typename BOpType>

CompInfo Spectra::HermEigsBase< OpType, BOpType >::info ( ) const

inline

Returns the status of the computation. The full list of enumeration values can be found in Enumerations.

Definition at line 396 of file HermEigsBase.h.

num_iterations()

template<typename OpType, typename BOpType>

Index Spectra::HermEigsBase< OpType, BOpType >::num_iterations ( ) const

inline

Returns the number of iterations used in the computation.

Definition at line 401 of file HermEigsBase.h.

num_operations()

template<typename OpType, typename BOpType>

Index Spectra::HermEigsBase< OpType, BOpType >::num_operations ( ) const

inline

Returns the number of matrix operations used in the computation.

Definition at line 406 of file HermEigsBase.h.

eigenvalues()

template<typename OpType, typename BOpType>

RealVector Spectra::HermEigsBase< OpType, BOpType >::eigenvalues ( ) const

inline

Returns the converged eigenvalues.

Returns

A vector containing the real-valued eigenvalues. Returned vector type will be Eigen::Vector<RealScalar, ...>, depending on the Scalar type defined in the matrix operation class. For example, if Scalar is double or std::complex<double>, then RealScalar would be double.

Definition at line 417 of file HermEigsBase.h.

eigenvectors() [1/2]

template<typename OpType, typename BOpType>

virtual Matrix Spectra::HermEigsBase< OpType, BOpType >::eigenvectors ( Index nvec ) const

inlinevirtual

Returns the eigenvectors associated with the converged eigenvalues.

Parameters

nvec	The number of eigenvectors to return.

Returns

A matrix containing the eigenvectors. Returned matrix type will be Eigen::Matrix<Scalar, ...>, depending on the Scalar type defined in the matrix operation class.

Definition at line 447 of file HermEigsBase.h.

eigenvectors() [2/2]

template<typename OpType, typename BOpType>

virtual Matrix Spectra::HermEigsBase< OpType, BOpType >::eigenvectors ( ) const

inlinevirtual

Returns all converged eigenvectors.

Definition at line 475 of file HermEigsBase.h.

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The documentation for this class was generated from the following file:

• Spectra/HermEigsBase.h